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Finding the Fourth Proportional to 6,962.49, 10,434.54 and 6,034.23

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Solution

The fourth proportional to 6,962.49, 10,434.54 and 6,034.23 is: 9,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.49 : 10,434.54 = 6,034.23 : x
  2. Step 2: Convert to fraction form
    6,962.49/10,434.54 = 6,034.23/x
  3. Step 3: Cross multiply
    6,962.49x = 10,434.54 × 6,034.23
  4. Step 4: Simplify right side
    6,962.49x = 62,964,414.30
  5. Step 5: Solve for x
    x = 62,964,414.30/6,962.49
  6. Step 6: Final answer
    x = 9,043.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.